Podcast
Questions and Answers
What is the definition of a linear equation?
What is the definition of a linear equation?
- An equation with quadratic terms
- An equation with only one variable and power 1 (correct)
- An equation with exponential terms
- An equation with multiple variables and powers
What is the rule of transposition?
What is the rule of transposition?
- A term can be transposed from one side of the equation to the other side by changing its sign (correct)
- A term can be transposed by multiplying it with the reciprocal of the other side
- A term can be transposed only if it is a constant
- A term can be transposed by adding its absolute value to the other side
What is the value of $p$ in the equation $2p + 4 = 8$?
What is the value of $p$ in the equation $2p + 4 = 8$?
- $p = 3$
- $p = 2$ (correct)
- $p = 4$
- $p = 1$
What is the solution to the equation $5 - 3y = -7$?
What is the solution to the equation $5 - 3y = -7$?
What is the value of $a$ in the equation $2a/5 - 4 = 6$?
What is the value of $a$ in the equation $2a/5 - 4 = 6$?
Study Notes
Linear Equations
- A linear equation is an equation in which the highest power of the variable(s) is 1.
Rule of Transposition
- The rule of transposition states that if two statements are equal, then they can be rearranged by adding or subtracting the same value to both sides of the equation, or by multiplying or dividing both sides of the equation by the same non-zero value.
Solving Linear Equations
- To solve the equation 2p + 4 = 8, subtract 4 from both sides to get 2p = 4, then divide both sides by 2 to find p = 2.
- To solve the equation 5 - 3y = -7, add 3y to both sides to get 5 = 3y - 7, then add 7 to both sides to get 12 = 3y, and finally divide both sides by 3 to find y = 4.
- To solve the equation 2a/5 - 4 = 6, add 4 to both sides to get 2a/5 = 10, then multiply both sides by 5 to get 2a = 50, and finally divide both sides by 2 to find a = 25.
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Description
Test your knowledge of linear equations with this Class 7 linear equations quiz. Explore rules, transposition, word problems, and more with this interactive worksheet and answer sheet. Sharpen your skills and master the art of solving linear equations in one variable.